scholarly journals Polling Systems and Their Application to Telecommunication Networks

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 117
Author(s):  
Vladimir Vishnevsky ◽  
Olga Semenova

The paper presents a review of papers on stochastic polling systems published in 2007–2020. Due to the applicability of stochastic polling models, the researchers face new and more complicated polling models. Stochastic polling models are effectively used for performance evaluation, design and optimization of telecommunication systems and networks, transport systems and road management systems, traffic, production systems and inventory management systems. In the review, we separately discuss the results for two-queue systems as a special case of polling systems. Then we discuss new and already known methods for polling system analysis including the mean value analysis and its application to systems with heavy load to approximate the performance characteristics. We also present the results concerning the specifics in polling models: a polling order, service disciplines, methods to queue or to group arriving customers, and a feedback in polling systems. The new direction in the polling system models is an investigation of how the customer service order within a queue affects the performance characteristics. The results on polling systems with correlated arrivals (MAP, BMAP, and the group Poisson arrivals simultaneously to all queues) are also considered. We briefly discuss the results on multi-server, non-discrete polling systems and application of polling models in various fields.

2008 ◽  
Vol 22 (4) ◽  
pp. 623-651 ◽  
Author(s):  
R. D. van der Mei ◽  
J. A. C. Resing

We study an asymmetric cyclic polling system with Poisson arrivals, general service-time and switch-over time distributions, and so-called two-phase gated service at each queue, an interleaving scheme that aims to enforce some level of “fairness” among the different customer classes. For this model, we use the classical theory of multitype branching processes to derive closed-form expressions for the Laplace–Stieltjes transform of the waiting-time distributions when the load tends to 1, in a general parameter setting and under proper heavy-traffic scalings. This result is strikingly simple and provides new insights in the behavior of two-phase polling systems. In particular, the result provides insight in the waiting-time performance and the trade-off between efficiency and fairness of two-phase gated polling compared to the classical one-phase gated service policy.


2021 ◽  
Vol 13 (15) ◽  
pp. 8324
Author(s):  
Viacheslav Morozov ◽  
Sergei Iarkov

Present experience shows that it is impossible to solve the problem of traffic congestion without intelligent transport systems. Traffic management in many cities uses the data of detectors installed at controlled intersections. Further, to assess the traffic situation, the data on the traffic flow rate and its concentration are compared. Latest scientific studies propose a transition from spatial to temporal concentration. Therefore, the purpose of this work is to establish the regularities of the influence of traffic flow concentration in time on traffic flow rate at controlled city intersections. The methodological basis of this study was a systemic approach. Theoretical and experimental studies were based on the existing provisions of system analysis, traffic flow theory, experiment planning, impulses, probabilities, and mathematical statistics. Experimental data were obtained and processed using modern equipment and software: Traficam video detectors, SPECTR traffic light controller, Traficam Data Tool, SPECTR 2.0, AutoCad 2017, and STATISTICA 10. In the course of this study, the authors analyzed the dynamics of changes in the level of motorization, the structure of the motor vehicle fleet, and the dynamics of changes in the number of controlled intersections. As a result of theoretical studies, a hypothesis was put forward that the investigated process is described by a two-factor quadratic multiplicative model. Experimental studies determined the parameters of the developed model depending on the directions of traffic flow, and confirmed its adequacy according to Fisher’s criterion with a probability of at least 0.9. The results obtained can be used to control traffic flows at controlled city intersections.


Telecom IT ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 55-62
Author(s):  
D. Vorobyova ◽  
A. Koucheryavy

Research subject. The article is devoted to analysis of related works and perspective investigation areas to coverage in the wireless sensor networks. Method. System analysis. Core results. The identification of development perspectives of a coverage in the wireless sensor networks. Practical relevance. The results of the article can be used by scientific organizations when planning the development of telecommunication networks, as well as universities in the educational process.


2019 ◽  
pp. 141-148
Author(s):  
Anatolii Livinskyi

Traditional autonomous use of indicators characterizing each of the forms of effectiveness (functional, economic, social, environmental) leads to a one-sided assessment of management systems, while a comprehensive assessment is needed in the strategic perspective. Efficiency of strategic management systems is one of the most complex forms of the manifestation of the efficiency category, which, in relation to other types of efficiency, acts as the most generalizing concept that synthesizes a complex of independent values of efficiency in the long run. Only the consideration of this category from the position of system analysis to a certain extent allows us to solve this difficult task.


Author(s):  
A.P. Bochkovskyi ◽  
N.Yu. Sapozhnikova

Purpose: Develop a system of automated occupational health and safety management to improve the procedure for minimizing occupational risks and ensure comprehensive protection of employees from the impacts of negative factors of the systems "man - machine - environment". Design/methodology/approach: The following set of scientific methods was used in the study: analysis of normative-legal documents and scientific-technical literature in the field of building and functioning of occupational safety and health management systems, methods of system analysis, simulation methods, namely discrete-event simulation (DES) of random and dynamic processes, methods of decision theory and data mining. Findings: Based on the results of the research, a system of automated occupational health and safety management, which due to the connection the functionally independent elements (according to a certain scheme) allows to provide comprehensive protection of employees from the impacts of negative factors of the system "man - machine - environment" and reduce occupational injuries and diseases, was developed. This is done by constant monitoring and promt correcting of parameters of impact on the employee of the specified factors. The developed system was implemented in the occupational health and safety management system of the industrial enterprise "Stalkanat-Silur" (Odessa, Ukraine), resulting in reducing the number of accidents, in particular, in dangerous areas of production by 33.3%, increasing the economic efficiency of the enterprise through increasing the level of productivity by 5% and reducing in the number of social insurance payments by 11%. Research limitations/implications: The developed system can be implemented both within separate industrial premises and in the enterprise as a whole, but the number of its elements could be changed (increase / decrease) depending on the number of jobs and dangerous areas that need control. Practical implications: The implementation of the proposed system allows to increase the level of economic efficiency of the enterprise by increasing the level of labor productivity due to reducing the negative impact on the employee of harmful factors and compliance with rational mode of work and rest in each workplace, as well as by reducing the number of social insurance payments due to reducing the occupational injuries and diseases. Originality/value: For the first time the system of automated occupational health and safety, which, in contrast to existing automated occupational risk minimization systems and traditional occupational health and safety management systems, provides comprehensive protection of employees from the the impacts negative factors of the system "man - machine-environment", by constant monitoring the parameters of such impact and their prompt correction in case of deviation of the specified parameters from the set criteria, was developed and proposed for use at enterprises, institutions and organizations.


2019 ◽  
Vol 71 ◽  
pp. 04008
Author(s):  
D.V. Filatova ◽  
R.V. Fedorenko

The interactions among individual economic agents require some regulations to hedge the risk of business activity. This paper examines the general equilibrium theory, backgrounds of system analysis and optimal control to show that these regulations present the mechanism of balanced management of economic processes at various economic level (enterprise, region, country). The study shows that sustainable development is self-regulatory and adaptive effort to remain on the market under the condition of reliable cooperation. Furthermore, by investigating the hierarchy of the business management systems, the conceptual and mathematical models of the mechanism for sustainable development are built and illustrated.


2007 ◽  
Vol 22 (1) ◽  
pp. 81-106 ◽  
Author(s):  
M. Vlasiou ◽  
U. Yechiali

We consider a polling system where a group of an infinite number of servers visits sequentially a set of queues. When visited, each queue is attended for a random time. Arrivals at each queue follow a Poisson process, and the service time of each individual customer is drawn from a general probability distribution function. Thus, each of the queues comprising the system is, in isolation, anM/G/∞-type queue. A job that is not completed during a visit will have a new service-time requirement sampled from the service-time distribution of the corresponding queue. To the best of our knowledge, this article is the first in which anM/G/∞-type polling system is analyzed. For this polling model, we derive the probability generating function and expected value of the queue lengths and the Laplace–Stieltjes transform and expected value of the sojourn time of a customer. Moreover, we identify the policy that maximizes the throughput of the system per cycle and conclude that under the Hamiltonian-tour approach, the optimal visiting order isindependentof the number of customers present at the various queues at the start of the cycle.


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